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Finding the Fourth Proportional to 137,848.40, 206,513.40 and 71,061.20

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Solution

The fourth proportional to 137,848.40, 206,513.40 and 71,061.20 is: 106,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,848.40 : 206,513.40 = 71,061.20 : x
  2. Step 2: Convert to fraction form
    137,848.40/206,513.40 = 71,061.20/x
  3. Step 3: Cross multiply
    137,848.40x = 206,513.40 × 71,061.20
  4. Step 4: Simplify right side
    137,848.40x = 14,675,090,020.08
  5. Step 5: Solve for x
    x = 14,675,090,020.08/137,848.40
  6. Step 6: Final answer
    x = 106,458.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.